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Finding the Third Proportional to 235,770 and 482,433

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Solution

The third proportional to 235,770 and 482,433 is: 987,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,770 : 482,433 = 482,433 : x
  2. Step 2: Convert to fraction form
    235,770/482,433 = 482,433/x
  3. Step 3: Cross multiply
    235,770x = 482,433 × 482,433
  4. Step 4: Simplify right side
    235,770x = 232,741,599,489
  5. Step 5: Solve for x
    x = 232,741,599,489/235,770
  6. Step 6: Final answer
    x = 987,155.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.